Abstract
We supplement the flow equations or exact renormalization group equations in continuum field theory with the introduction of collective fields, which offer a convenient description of bound states and vacuum condensates. In addition the flow equations are improved by use of scale-dependent field redefinitions such that they involve the exact propagator at every scale.
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K. Wilson, J. Kogut: Phys. Rep. 12 (1974) 75
F. Wegner, in: Phase transitions and critical phenomena, vol. 6, C. Domb M. Green (eds). New York: Academic Press 1975
J. Polchinski: Nucl. Phys. B231 (1984) 269
B. Warr: Ann. Phys. 183 (1988) 1; 59
T. Hurd: Commun. Math. Phys. 124 (1989) 153
G. Keller, C. Kopper, M. Salmhofer: Helv. Phys. Acta 65 (1992) 32
G. Keller, C. Kopper: Phys. Lett. 273 (1991) 323
G. Keller, C. Kopper: preprint MPI-PTH-91-79 (1991)
C. Wetterich: Nucl. Phys. B 352 (1991) 529
L. Vergara, U. Ellwanger: Heidelberg preprint HD-THEP-92-49: Nucl. Phys. B (submitted)
S. Coleman, R. Jackiw, H. Politzer: Phys. Rev. D10 (1974) 2491
D. Gross, A. Neveu: Phys. Rev. D10 (1974) 3235
H. Kleinert: Phys. Lett. B62 (1976) 429; in Proceedings of the 1976 International School of Subnuclear Physics, Erice 1976
E. Shrauner: Phys. Rev. D16 (1977) 1877
T. Kugo: Phys. Lett. B76 (1978) 625
R. Haymaker: Riv. Nuovo Cimento 14 (1991) No. 8
B. Rosenstein, B. Warr, S. Park: Phys. Rep. 205 (1991) 59
Proceedings of the International Workshop on Strong Coupling Gauge Theories and Beyond, Nagoya, 1991
B. Jouvet: Nuovo Cimento 3 (1956) 1133; A. Salam: Nuovo Cimento 25 (1962) 224; S. Weinberg: Phys. Rev. 130 (1963) 776
T. Eguchi: Phys. Rev. D14 (1976) 2755, D17 (1978) 61
U. Ellwanger: Nucl. Phys. B281 (1987) 489
U. Ellwanger: Fortschr. Phys. 36 (1988) 881
W. A. Bardeen, C. Hill, M. Lindner: Phys. Rev. D41 (1990) 1647
M. Bando et al.: Phys. Lett. B246 (1990) 466
V.A. Miransky, M. Tanabashi, K. Yamawaki: Phys. Lett. 221B (1989) 177; Mod. Phys. Lett. A4 (1989) 1043
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Supported by a DFG Heisenberg fellowship
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Ellwanger, U. Collective fields and flow equations. Z. Phys. C - Particles and Fields 58, 619–627 (1993). https://doi.org/10.1007/BF01553022
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DOI: https://doi.org/10.1007/BF01553022